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Let Y1 and Y2 have joint density function fY1,Y2 (y1, y2) = $ 8y1 y2, 0 y1 < y2 1, 0
Chapter 6, Problem 6.68(choose chapter or problem)
QUESTION:
Let Y1 and Y2 have joint density function fY1,Y2 (y1, y2) = $ 8y1 y2, 0 y1 < y2 1, 0, otherwise, and U1 = Y1/Y2 and U2 = Y2.a Derive the joint density function for (U1, U2). b Show that U1 and U2 are independent.
Questions & Answers
QUESTION:
Let Y1 and Y2 have joint density function fY1,Y2 (y1, y2) = $ 8y1 y2, 0 y1 < y2 1, 0, otherwise, and U1 = Y1/Y2 and U2 = Y2.a Derive the joint density function for (U1, U2). b Show that U1 and U2 are independent.
ANSWER:Step 1 of 4
(a)
when
otherwise
Determining the inverse transformation,thus solve the given equations to and